Determine the limit of the sequence an = (2n)^(3/n) or show that the sequence diverges. If it converges, find its limit.

Q: 2 S- 2 V4+x

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

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Q: For the geometric sequence, 15 45 135 5, 2' 4 ' 8 What is the common ratio? What is the fifth term? ...

A: The geometric sequence,5, 152, 454, 1358,........

Q: s dx 2

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Q: N3 + 4 N4 N2 to evaluate the limit. 4 Use linearity and the formula 2 j=1 N 24 lim > N4 N→∞ i=1 (Exp...

A: This is a problem related to limit of the function based on the general formula and concept we will ...

Q: Find the sum of the series Σ /n+4 n = 1

A: First operate the given sum on both terms and then calculate the sum.

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: (d) Find f, the inverse of f. (e) Find the domain and the range of f. (f) Graph f1. 12. f(x) = 4x+1 ...

A: inverse of function domain range

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: If two vector are parallel than angle between them zero.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Given problem:- Find two vectors in opposite directions that are orthogonal to the vector u. (The an...

Q: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the re...

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Q: Consider the following. u = 9i + 4j, v = 8i + 2j (a) Find the projection of u onto v. (b) Find the v...

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Q: Find A csc (x) = sec (3A-x) Ans. π/6   Please include the explanation on the solution. Thank you...

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Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum...

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Q: A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a si...

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Q: 85 lb in wat

A: answer of given question is in step 2

Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A: u=4i - 5j + ku=42+(-5)2+12u=42v=i - 4j + kv=12+(-4)2+12u=18Dot product:u·v =uv cosθcosθ=(4, -5, 1)·(...

Q: The distance traveled by a rocket (in feet) after launch is given by the function f (t) = -16t? + 1,...

A: Given query is to find the velocity after 15 second.

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and d...

A: topic - function and application of derivatives

Q: Calculate R3 and L3 for f(x) = x² - 7x + 4 over [1,4]. (Give your answers as whole or exact numbers....

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

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Q: 1. (-7, -3) 2. (-5, -3] 3. [0,3] 4. [3, 7] 5. (-5,5)

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Q: 2 2 V1-x 1-х

A: ∫un du = un+1n+1+C ∫cos(au) du =1asin(au)+C

Q: Find the common ratio and write out the first four terms of 7n+2 the geometric sequence 6 Common rat...

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Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Answer is infinity 

Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle bet...

A: Solution is given below:

Q: evaluate the given double integral. 7. (x + 2)dxdy

A: Given query is to find the value of the integral.

Q: Question 2 Write a simpler function that agrees with the given function at all but one point. Then f...

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Q: Problem 3: The points (-1,3) and (0,2) are on a curve, and at any point (x,y) on the curve = 2 - 4x....

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Q: complete

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Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. (a...

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Q: Find u v, u· u, ||v||2, (u · v)v, and u · (3v). = (2, 11), v = (-5, 2) %D (a) A. n (b) u u (c) ||v||...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –...

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Q: 3 Reverse the or der of intagration and do not evaluate. xp hp 0, 3.3 Show the region.

A: To reverse the order of integration and do not evaluate.∫01∫x11y3+8 dy dx  

Q: Consider the following two series A = E and B= n=1 n=1 Which of the following statements is TRUE? O ...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: Topic = Geometry

Q: sin (:) tan r 2. Find the derivative of f(r) = using logarithmic %3D differentiation.

A: To find the derivative of fx=sin31x tan x5π-x5e2x using logarithmic differentiation.

Q: Solve the initial value problem. d?y = 6-30x, y'(0) = 8, and y(0) = 4 dx? %3D y(x) = |

A: According to question,Given differential equation,d2ydx2 = 6-30x,y'0 = 8y0 =4

Q: find the orthogonal trajectory of the family of curves r^n = a sin n theta

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Q: 2 Find u, 3v, v – u, and 2u + 5v. | (7, 6), v = (4, –4) 2. (a) 3 (b) 3v (c) V - u (d) 2u + 5v

A: u=7i+6jv=4i-4ja) 23u23u=23(7i+6j)23u=237i+23*6j23u=143i+4jb) 3v=3(4i-4j)3v=12i-12jc)v-u=(4i-4j)-(7i-...

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (En...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Apply Gauss-Seidel method to solve the values of the x as given. Continue iterations until two succe...

A: Basic information:  Put: A = x1 ; B = x2 ; C = x3 ------------------------------------------------...

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: In the given first-order differential equation below, y'cot(x) + y= sec(x); (i) Identify the type (i...

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Q: Find the unit vector in the direction of v. v = -6.9i + 2.5j U =

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